Question

125. A radio is sold at a profit of 20%.
Had it been sold for ₹60 more than
profit would have been 30%. The
cost price of the ratio is
एक रेडियों का 20% लाभ पर बेचा गया। यदि इसे
₹60 अधिक मूल्य पर बेचा जाता तो 30% लाभ
होता तो रेडियों का क्रय मूल्य ज्ञात करें ?
(a) ₹600
(c) ₹550
(b) ₹620
(d) ₹500
an​

Answer 1

Option A .

C.P. of radio = Rs. Y

According to the question,

⇒130y / 100 - 120y / 100 = 60

⇒ 10x / 100 = 60

⇒ y = 60 × 10

= Rs. 600.

HENCE PROVED ✌

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Answer 2

$\huge \boxed{\color{blue}\underbrace\blue{ \tt Answer:-}}$

$\text{Let cost price be x.}$

$\small\text{We've been given that the radio was sold at 20 percent profit.}$

If it would be sold for Rs. 60 more, then the profit would be of 30%.

So here we can conclude that the difference between the selling price of both the conditions will be ₹60.

Formula to calculate Selling price when CP and Profit % is given:-

$\sf SP= \Bigg ( \dfrac{100+Profit \%}{100} \Bigg )CP$

Using this formula,

$\sf \implies \Bigg ( \dfrac{100+30}{100} \Bigg )x - \Bigg ( \dfrac{100+20}{100} \Bigg )x = Rs.60$

$\sf \implies \Bigg ( \dfrac{130}{100} \Bigg )x - \Bigg ( \dfrac{120}{100} \Bigg )x = Rs.60$

$\sf \implies\dfrac{13}{10}x - \dfrac{12}{10}x = Rs.60$

$\sf \implies\dfrac{x}{10} = Rs.60$

$\sf \implies x = 10 \times Rs. 60 = Rs.600$

Therefore, the cost price of the article is ₹600.

Hope it helps.